Hybrid Contractions on Branciari Type Distance Spaces

Kamaleldin Abodayeh, Erdal Karapınar, Ariana Pitea and Wasfi Shatanawi
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Kamaleldin Abodayeh: Department of Math and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Erdal Karapınar: Department of Medical Research, China Medical University, Taichung 40402, Taiwan
Ariana Pitea: Department of Mathematics and Informatics, University Polithenica of Bucharest, 060042 Bucharest, Romania
Wasfi Shatanawi: Department of Math and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Mathematics, 2019, vol. 7, issue 10, 1-11

Abstract: In this manuscript, we consider some hybrid contractions that merge linear and nonlinear contractions in the abstract spaces induced by the Branciari distance and the Branciari b -distance. More precisely, we introduce the notion of a ( p , c ) -weight type ? -contraction in the setting of Branciari distance spaces and the concept of a ( p , c ) -weight type contraction in Branciari b -distance spaces. We investigate the existence of a fixed point of such operators in Branciari type distance spaces and illustrate some examples to show that the presented results are genuine in the literature.

Keywords: Branciari type metric space; hybrid contraction; ( p , c )-weight type ? -contraction; ( p , c )-weight type contraction; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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